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Finding the Fourth Proportional to 2,103.96, 2,903.64 and 1,404.84

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Solution

The fourth proportional to 2,103.96, 2,903.64 and 1,404.84 is: 1,938.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.96 : 2,903.64 = 1,404.84 : x
  2. Step 2: Convert to fraction form
    2,103.96/2,903.64 = 1,404.84/x
  3. Step 3: Cross multiply
    2,103.96x = 2,903.64 × 1,404.84
  4. Step 4: Simplify right side
    2,103.96x = 4,079,149.62
  5. Step 5: Solve for x
    x = 4,079,149.62/2,103.96
  6. Step 6: Final answer
    x = 1,938.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.